When the film magnetization is along the wire direction, the coupling between the Kittel mode and the film spin waves is chiral in that the former only couples to the latter propagating in one direction [1]}, the chirality being tunable by the direction of the magnetization of the film [2]}. The spin waves in the film then mediate a chiral interaction with an asymmetric coupling strength between the left and right wires. We find that when the damping of the spin waves of the film is sufficiently strong (while assuming the wire has a small damping), all the collective modes of the array of wires are localized at one edge, showing a non-Hermitian skin effect. This skin effect, however, vanishes when the damping tends to zero or the chirality is absent. We analytically approach the generalized Brillouin zone that characterizes a non-trivial winding of the eigen-frequency only when there exist both chirality and strong damping of the film spin waves. The non-Hermitian skin effect can act as a non-local and non-reciprocal information processor since the excitation of wire at one edge leads to a large amplitude at the other edge. It is extremely sensitive that allows for the detection of microwaves as small as \(\mu {\rm T}\) , a functionality that may be implemented in classical information processing and future quantum technology.
